[0001] The present invention relates generally to internal combustion engines and, more
specifically, to a method of predicting the volume of finished combustion chambers
from a raw cylinder head casting for an internal combustion engine.
[0002] It is known to cast a cylinder head for an internal combustion engine. The cylinder
head has at least one, sometimes a plurality of combustion chambers. The raw cylinder
head casting is typically finished by machining the deck face and valve seat surfaces
to prepare it for installation of spark plugs and valves.
[0003] It is also known that variations in the volume of the combustion chamber have a strong
effect on the variation of the compression ratio of each cylinder. Differences in
compression ratio between cylinders of the same engine lead to engine noise vibration
harshness (NVH). Differences in compression ratio among engines of the same family
require using a less than optimum engine calibration for the engine, in order to meet
emissions, which reduces power and adversely affects fuel economy. Thus, it is desirable
to know and control the volume of a combustion chamber for a finished cylinder head.
[0004] The most common method for measuring the volume of a combustion chamber is to first
perform the finish machining and then measure the volume of liquid required to fill
the chamber. The method involves covering the combustion chamber with a glass plate
having a small hole therethrough. The combustion chamber is carefully filled with
liquid, which is accurately measured. Another method uses sonic resonance to compare
a test chamber to a master chamber. Both of these methods only measure the volume
of combustion chambers and are laborious and lack repeatability. Further, neither
of these methods will work with an as cast cylinder head, since they require a totally
enclosed volume, i.e. the combustion chamber must contain both valves and spark plug.
By knowing the finished volume at the time of casting, it is possible to adjust the
casting process to repeatably produce the desired volume. Thus, there is a need in
the art to predict the volume of a finished combustion chamber from a raw cylinder
head casting.
[0005] Accordingly, the present invention is a method of predicting volume of finished combustion
chambers from a raw cylinder head casting. The method includes the steps of capturing
cylinder head geometry of a raw cylinder head casting, transforming the captured cylinder
head geometry into a machining co-ordinate system, virtual machining the raw cylinder
head casting based on the transformed geometry, calculating volume of each of the
combustion chambers of the virtually machined cylinder head, adding signed volumes
of at least one component to the calculated volume to obtain a finished volume, and
adjusting a mould for the raw cylinder head casting to achieve the desired finished
volume.
[0006] One advantage of the present invention is that a method is provided for predicting
the volume of finished combustion chambers from a raw cylinder head casting. Another
advantage of the present invention is that the method uses computer techniques to
simulate the machining operations which produce the finished cylinder head. Yet another
advantage of the present invention is that the method can be used to determine if
a combustion chamber volume is out of tolerance due to errors from the casting process
independent of any variation in the machining process. Still another advantage of
the present invention is that the method can be used to provide process feedback to
adjust the desired finished volume value and assess process variability. A further
advantage of the present invention is that the method is more accurate and repeatable
than previous methods for measuring the volume of machined or finished cylinder heads.
[0007] The invention will now be described, by way of example, with reference to the accompanying
drawings, in which:
FIG. 1 is a flowchart of a method, according to the present invention, of predicting
the volume of finished combustion chambers in a raw cylinder head casting;
FIG. 2 is a high density point perspective view of a raw combustion chamber of a raw
cylinder head casting;
FIG. 3 is a high density point perspective view of a raw cylinder head casting including
cast datum locating features; and
FIG. 4 is a high density point perspective view of a finished combustion chamber of
a finished cylinder head after a spark plug and the valve have been added and a deck
face and valve seat has been machined.
[0008] One embodiment of a method, according to the present invention, of predicting volume
of finished combustion chambers from a raw cylinder head casting for an internal combustion
engine is illustrated in FIG. 1. The method starts in bubble 12 and includes capturing
cylinder head geometry of a raw cylinder head casting in block 14, transforming the
captured cylinder head geometry into a machining co-ordinate system in block 16 and
virtual machining the raw cylinder head casting based on the transformed geometry
in block 18. The method also includes calculating a volume of each of the combustion
chambers of the virtually machined cylinder head in block 20, adding signed volumes
of at least one component to the calculated volume to obtain a finished volume in
block 22 and adjusting a mould for the raw cylinder head casting to achieve the desired
finished volume in block 24. The method ends in bubble 26.
[0009] In block 14, the method includes the step of capturing the cylinder head geometry
of a raw cylinder head casting for an internal combustion engine (not shown). As illustrated
in FIGS. 2 and 3, at least one, or a plurality of cast combustion chambers 30 in a
deck face 31 of a raw cylinder head casting 32 are illustrated. Each combustion chamber
30 has cast combustion chambers surfaces 34 and 36. Each combustion chamber 30 also
has a recess 40 for at least one component such as a spark plug (not shown) and a
recess 42 for at least one component such as a valve. It should be appreciated that
the raw combustion chamber 30 is conventional and known in the art.
[0010] To capture the geometry of the raw combustion chamber 30, a laser scanner or other
suitable means is used to collect a dense cloud of x,y,z data points which represent
the geometry of the cast combustion chamber surfaces 34,36,40,42. For example, a laser
scanner can be used to collect a cloud of x,y,z data points every 0.5 millimetres
(mm) in both the x and y directions across the raw combustion chamber 30. This dense
cloud of point data is used as an input to a computer (not shown) for the purpose
of volume calculation. In the example, the scan density is sufficient to compute the
volume to within 0.05 cubic centimetres (cc). It should be appreciated that laser
scanning and inputting to a computer is conventional and known in the art.
[0011] In block 14, the step of capturing includes capturing the geometry of cast datums
which define the orientation and position of a cast co-ordinate system for the raw
cylinder head casting 32. As illustrated in FIG. 2, the raw cylinder head casting
32 includes x,y locators or cast datums 44 and z locators or cast datums 46 which
are cast into the raw cylinder head casting 32 by a mould (not shown). It should be
appreciated that the cast datums 44 and 46 define the orientation and position of
a cast co-ordinate system.
[0012] To capture the cast datums 44 and 46, a laser scanner or other suitable means is
used. The relationship between the co-ordinate system in which the chamber geometry
is captured and the co-ordinate system in which the cast datum geometry is captured
must be known. Preferably, these co-ordinate systems are the same because the same
laser scanner can be used to capture the combustion chamber geometry and cast datums
simultaneously.
[0013] In block 16, the method includes the step of transforming the captured geometry into
a machining co-ordinate system. In order to define the finished geometry and predict
the finished volume, measurements and dimensions in three separate co-ordinate systems,
cast, inspection and machining must be related. The cast co-ordinate system defines
the orientation of the raw cylinder head casting 32 in its cast condition.
[0014] The cloud of measurement data which represents the cast surfaces 34,36,40,42 is obtained
in an inspection co-ordinate system and finish machining of the surface 42 for the
valve seat and deck face 31 are done in the machining co-ordinate system. Preferably,
the machining co-ordinate system is chosen as the common system and the transformation
matrices from the two other systems to this common system are determined. The cast
co-ordinate system is described by physical cast datums 44 and 46 that are cast into
the raw cylinder head casting 32. These cast datums 44 and 46 define a plane, a line
and a point from which a unique co-ordinate system may be constructed. By using three
dimensional geometric techniques known in the art, the transformation matrix from
the inspection co-ordinate system to the cast co-ordinate system can be determined
from the geometry of the cast datums 44 and 46 in the inspection co-ordinate system.
The cast datums 44 and 46 are used in the first steps of the machining process to
locate the machining datums to which all further machining is done. The relationship
between the cast co-ordinate system and the machining co-ordinate system is defined
by cylinder head drawings or a computer aided drafting (CAD) model of the cylinder
head. The transformation matrix between the cast and machining co-ordinate systems
can be derived from this given relationship.
[0015] Since the transformation matrix from the inspection co-ordinate system to the cast
co-ordinate system can be determined from the captured geometry of the cast datums
44 and 46, and the transformation matrix from the cast co-ordinate system to the machining
co-ordinate system is defined by the cylinder head drawings or CAD model, it is possible
to determine the transformation matrix that will transform the cloud of x,y,z points
in the inspection co-ordinate system which represent the cylinder head cast surfaces
34,36,40,42 into the machining co-ordinate system. Once transformed, the data represents
the cast cylinder head surfaces 34,36,40,42 in the machining co-ordinate system. It
should be appreciated that the transformation is carried out by the computer.
[0016] For example, a 2.0L cylinder head has four (4) cast datums 46a,46b,46c,46d on its
periphery which are used to define the x,y plane of the cast co-ordinate system. The
geometry of these cast datums 46 were obtained by scanning the raw cylinder head casting
32 in these areas. Because there is insufficient space on the periphery near the centre
of the raw cylinder head casting 32, four datums 46 are used rather than three. To
determine the plane defined by these datums 46, the midpoint of a line segment connecting
the centroids of 46a and 46b were used as one point and the centroid of 46c and 46d
were used as the other two. There are four (4) other cast datums 44a, 44b, 44c and
44d located at the extreme ends of the raw cylinder head casting 32 which define four
planes. Planes 44a and 44b face the positive and negative y direction. Planes 44c
and 44d face the positive x direction. The projection of a line segment connecting
the centroids of 44c and 44d onto the xy plane defines the cast co-ordinate system
y axis. The centroids of the remaining two planes, 44c and 44d, were used to define
the origin. The centroids of these planes were first projected to the yz plane (which
is perpendicular to the previously defined xy plane and oriented along the previously
defined y axis). These projected points were then projected to the xy plane. The midpoint
of the line segment connecting these twice projected points is used to define the
origin of the cast co-ordinate system. Once the cast co-ordinate system is defined
using data from the cast datums 44 and 46, the transformation matrix T1 from the inspection
co-ordinate system in which the data was gathered to the cast co-ordinate system defined
by the cylinder head drawings can be determined.
[0017] The transformation matrix T2 from the cast co-ordinate system to the machining co-ordinate
system, can be determined from the cylinder head drawings. In this example, a simple
translation in three dimensions 183.6 mm in the x direction, 4.6 m in the y, and 1.5mm
in the z was used. The transformation matrix T, from the inspection co-ordinate system
to the machining co-ordinate system, was then determined. The transformation matrix
T is the matrix product of T2 times the inverse of matrix T1. Applying this resulting
matrix T to the x,y,z point data representing the cast chamber surfaces 34,36,40,42
transforms it into the machining co-ordinate system.
[0018] In block 18, the method includes the step of virtual machining the combustion chambers
based on the transformed geometry. By using the co-ordinate transformation matrix
T derived in the previous step, the x,y,z point data is transformed to the machining
co-ordinate system. Virtual machining techniques are used to simulate the finish machining
of the raw cylinder head casting 32 at the nominal locations given by the cylinder
head drawings or CAD model for the cylinder head. It should be appreciated that only
the deck face 31 and recess 42 or valve seat for the valve are machined.
[0019] The actual process of applying these machining operations to the model is accomplished
by a process called virtual machining, which is described in copending patent application,
U.S. Serial No. 08/398,233, filed March 3, 1995, and entitled "Virtual Machine Techniques
for Modifying Computer Models of Parts", the disclosure of which is incorporated by
reference. The resulting point model then represents the geometry of the raw cylinder
head casting 32 machined or finished to the nominal manufacturing dimensions as illustrated
in FIG. 4 where like parts have primed reference numerals.
[0020] For example, data on the surface 42' for the valve was brought to a valve gage line
to simulate the portion of the combustion chamber 30' sealed off by the valve. The
valve seat and blend radiuses were then simulated to their nominal dimensions. Finally,
by passing a plane through the data cloud at the nominal location of the deck face
31', the final milling of the cylinder head was simulated. It should be appreciated
that the virtual machining is carried out by the computer.
[0021] In block 20, the method includes the step of calculating a volume of each of the
combustion chambers 30' of the virtually machined cylinder head. By applying three
dimensional geometric numerical integration techniques to the point data model from
the previous step, the volume of each of the combustion chambers 30' is calculated
by using an extension of the trapezoidal rule to three dimensions. The total volume
of each combustion chamber 30' is obtained by dividing the chamber 30' into a large
number of vertical trapezoidal prisms. The vertices of the base of each trapezoidal
prism lie at three adjacent points in the x,y,z point model. The volume of each trapezoidal
prism is the area of the projection of its base onto the x,y plane times the average
height of the trapezoidal prism. The total volume of the chamber 30' is obtained by
summing the volumes of these prisms. It should be appreciated that the calculation
is carried out by the computer.
[0022] In block 22, the method includes the step of adding signed (+ and -) volumes of at
least one component such as a spark plug (not shown) and at least one valve (not shown)
to the calculated volume to obtain a finished volume. To determine the finished volume
of the combustion chamber 30' (which contains a spark plug and valves), the signed
volumes of the valves and spark plug must be added to the calculated volume in the
previous step. These signed volumes can be determined by integration of the valve
and spark plug geometries stored in the computer. The volume change for the valves
and spark plugs added to the chamber 30' is usually given as a significant characteristic
on the drawings for these parts. For example, from drawings of these components:
| Intake Valve |
volume |
+0.425 cc |
| Exhaust Valve |
volume |
-0.057 cc |
| Plug AGSF34C |
volume |
-0.114 cc |
[0023] These components therefore decrease the total volume calculated by numerical integration
by 0.195 cc.
[0024] In block 24, the method includes the step of adjusting the mould (not shown) for
the raw cylinder head casting 32 to achieve the finished volume. If the predicted
or finished volume of the combustion chamber 30' is not on target, the methods of
U.S. Patent No. 5,442,572, entitled "Method and System For Comparing Free-Form Geometries
Using High Density Point Data Models", the disclosure of which is hereby incorporated
by reference can be used to help identify the root cause of the problem. The error
map of U.S. Patent No. 5,442,572 can be used to determine if the combustion chamber
30 is improperly located in the cylinder head, or if the combustion chamber 30 shape
differs from its design intent. This can occur when mould insert for the casting mould
wears or mould coating is improperly applied.
[0025] The volume of the combustion chamber 30 is adjusted by moving the part of the mould
that forms the chamber surface 36 and 38. This part is called the chamber insert and
it is moved perpendicular to the deck face 31.
[0026] The table below shows the volume for each of the four (4) combustion chambers from
a particular cylinder head. The cylinder head was scanned and the data was analysed
by the methods described above. The results appear in the table below. Then the cylinder
head was removed from the scanner, replaced, and then rescanned for each trial. The
results of the trials differ by less than 0.04 cc in the worst case. Although all
the chambers are within tolerance, the methods of U.S. Patent No. 5,442,572, can be
used to help understand the sources of the slight differences between the volumes
of each of the chambers.
| Chamber number |
Trial 1 |
Trial 2 |
Trial 3 |
Trial 4 |
Trial 5 |
| 1 |
61.886 |
61.893 |
61.905 |
61.907 |
61.899 |
| 2 |
62.112 |
62.115 |
62.141 |
62.115 |
62.123 |
| 3 |
62.064 |
62.076 |
62.096 |
62.087 |
62.073 |
| 4 |
62.186 |
62.189 |
62.221 |
62.209 |
62.197 |
[0027] Accordingly, the present invention provides a method for accurately predicting the
volume of a combustion chamber after machining from a raw or cast cylinder head before
it has been physically machined. The method simulates machining of the deck face and
the chamber surface to prepare it for installation of the spark plug and valves. The
chamber volumes are then calculated from the simulated geometry. If the volume is
out of tolerance, the method can be used to provide process feedback to determine
how to fix the casting process.
1. A method of predicting volume of finished combustion chambers from a raw cylinder
head casting, the method comprising the steps of:
capturing cylinder head geometry of a raw cylinder head casting (32);
transforming the captured cylinder head geometry into a machining co-ordinate system;
virtual machining the raw cylinder head casting based on the transformed geometry;
calculating a volume of each combustion chamber (30) of the virtually machined cylinder
head;
adding signed volumes of at least one component to the calculated volume to obtain
a finished volume; and
adjusting a mould for the raw cylinder head casting (32) to achieve the desired finished
volume.
2. A method as claimed in claim 1, wherein said step of capturing comprises collecting
a cloud of x,y,z data points which represent the geometry of the surface of the combustion
chamber.
3. A method as claimed in claim 2, wherein said step of capturing further includes capturing
cast datums which define orientation and position of a cast co-ordinate system for
the raw cylinder head casting.
4. A method as claimed in claim 1, wherein said step of transforming comprises using
a transformation matrix to transform x,y,z data of the captured cylinder head geometry
from an inspection co-ordinate system into a machining co-ordinate system.
5. A method as claimed in claim 1, wherein said step of calculating comprises applying
three dimensional geometric numerical integration to a point data model representing
the virtually machined combustion chamber.
6. A method as claimed in claim 1, wherein said step of calculating comprises dividing
the virtually machined combustion chamber into a plurality of vertical trapezoidal
prisms and summing signed integrated volumes of the vertical trapezoidal prisms.
7. A method as claimed in claim 1, wherein said step of adding comprises integrating
the spark plug geometry and at least one valve geometry and adding the signed integrated
volumes to the calculated volume.
8. A method as claimed in claim 1, wherein said step of adjusting comprises moving a
part of the mould that forms the surface of the combustion chamber.
9. A method of predicting volume of finished combustion chambers from a raw cylinder
head casting, the method comprising the steps of:
capturing cylinder head geometry of a raw cylinder head casting by collecting a cloud
of x,y,z data points which represent the geometry of the surface of the combustion
chamber and collecting cast datums which define orientation and position of a cast
co-ordinate system for the raw cylinder head casting;
transforming the captured cylinder head geometry into a machining co-ordinate system
by using a transformation matrix to transform x,y,z data of the captured cylinder
head geometry from a cast co-ordinate system into a machining co-ordinate system;
virtual machining the raw cylinder head casting based on the transformed geometry;
calculating a volume of each of combustion chambers of the virtually machined cylinder
head by applying three dimensional geometric numerical integration to a point data
model representing the virtually machined combustion chamber;
adding signed volumes of at least one valve and spark plug to the calculated volume
to obtain a finished volume; and
adjusting a mould for the raw cylinder head casting to achieve the desired finished
volume.
10. A method as claimed in claim 9, wherein said step of adjusting comprises moving a
part of the mould that forms the surface of the combustion chamber.